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Finding the Third Proportional to 1,766,759,011.13 and 3,827,957,784

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Solution

The third proportional to 1,766,759,011.13 and 3,827,957,784 is: 8,293,865,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,759,011.13 : 3,827,957,784 = 3,827,957,784 : x
  2. Step 2: Convert to fraction form
    1,766,759,011.13/3,827,957,784 = 3,827,957,784/x
  3. Step 3: Cross multiply
    1,766,759,011.13x = 3,827,957,784 × 3,827,957,784
  4. Step 4: Simplify right side
    1,766,759,011.13x = 14,653,260,796,086,190,080
  5. Step 5: Solve for x
    x = 14,653,260,796,086,190,080/1,766,759,011.13
  6. Step 6: Final answer
    x = 8,293,865,039.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.